Conformal characters and the modular representation
arXiv:hep-th/0512011 · doi:10.1088/1126-6708/2006/02/005
Abstract
A general procedure is presented to determine, given any suitable representation of the modular group, the characters of all possible Rational Conformal Field Theories whose associated modular representation is the given one. The relevant ideas and methods are illustrated on two non-trivial examples: the Yang-Lee and the Ising models.
17 pages
References in corpus (4)
Cited by in corpus (16)
- Mathieu twining characters for K3
- Holographic theory for continuous phase transitions -- the emergence and symmetry protection of gaplessness
- Constraints on extremal self-dual CFTs
- Towards a Classification of Two-Character Rational Conformal Field Theories
- Holomorphic modular bootstrap revisited
- Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality
- Rational CFT With Three Characters: The Quasi-Character Approach
- Classification of Unitary RCFTs with Two Primaries and Central Charge Less Than 25
- Discreteness and Integrality in Conformal Field Theory
- The Most Irrational Rational Theories
- Modular differential equations for characters of RCFT
- A non-unitary bulk-boundary correspondence: Non-unitary Haagerup RCFTs from S-fold SCFTs
- Modular differential equations for torus one-point functions
- Meromorphic Cosets and the Classification of Three-Character CFT
- Two approaches to the holomorphic modular bootstrap
- Character Vectors of Strongly Regular Vertex Operator Algebras